Analytic Theory and Control of the Motion of Spinning Rigid Bodies

研究目标是发展非对称刚体在任意力和力矩作用下运动的一般解析理论。第二个目标将是开发利用解析解的运动控制方案。该理论将包括寻找欧拉角速度，欧拉角和惯性空间中角动量矢量的封闭形式解。研究结果将对有限尺寸刚体，特别是旋转空间飞行器的分析和控制的实际应用产生根本性的影响。

The research objective is the development of a general analytic theory of the motion of asymmetric rigid bodies subject to arbitrary forces and torques. A secondary objective will be to develop control schemes for the motion which take advantage of the analytic solutions. The theory would comprise finding closed form solutions for the Eulerian angular velocities, the Eulerian angles, and the angular momentum vector in inertial space. The results will have a fundamental impact on practical applications in terms of the analysis and control of finite sized rigid bodies, particularly spinning space vehicles.